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Which of the following is a monomial?

A. [tex]3x^2 + 2x - 1[/tex]
B. [tex]2x - 1[/tex]
C. [tex]3x + 4[/tex]
D. [tex]4[/tex]

Sagot :

GinnyAnswer
To determine which of the given options is a monomial, we need to recall the definition of a monomial. A monomial is an algebraic expression that consists of only one term.

Now let's analyze each option:

A. [tex]\( 3x^2 + 2x - 1 \)[/tex]
- This expression has three terms: [tex]\( 3x^2 \)[/tex], [tex]\( 2x \)[/tex], and [tex]\( -1 \)[/tex].
- Since a monomial must have only one term, this is not a monomial.

B. [tex]\( 2x - 1 \)[/tex]
- This expression has two terms: [tex]\( 2x \)[/tex] and [tex]\( -1 \)[/tex].
- Since a monomial must have only one term, this is not a monomial.

C. [tex]\( 3x + 4 \)[/tex]
- This expression has two terms: [tex]\( 3x \)[/tex] and [tex]\( 4 \)[/tex].
- Since a monomial must have only one term, this is not a monomial.

D. [tex]\( 4 \)[/tex]
- This expression has only one term: [tex]\( 4 \)[/tex].
- Since a monomial can be a constant (a single term with no variables), this is a monomial.

Therefore, the best answer to the question "Which of the following is a monomial?" is:

D. [tex]\( 4 \)[/tex]
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